3 years ago

Ryan earns x dollars every seven days. Write an equation for how much Ryan earns in one day.

Mathematics

1 answer:

spin [16.1K]3 years ago

6 0

Ryan earns x dollars in 7 days --> x/7 dollars in one day.

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Piper saw a large box of ping pong balls with 48 balls in each layer

son4ous [18]

A.) 5 layers with 48 balls in each layer would equal 250 balls in the box
(5x48=250)
B.) 15 layers with 48 balls in each layer would equal 720
(15x48=720)

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2 years ago

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Lim x-1 x³-2x²+3x-2/(2x^4-3x+1)

UkoKoshka [18]

Since the limit becomes the undetermined form

$\displaystyle \lim_{x\to 1} \dfrac{x^3-2x^2+3x-2}{2x^4-3x+1} \to \dfrac{0}{0}$

it means that both polynomials have a root at $x=1$ . So, we can fact both numerator and denominator:

$x^3-2x^2+3x-2 = (x-1)(x^2-x+2)$

$2x^4-3x+1 = (x-1)(2x^3+2x^2+2x-1)$

So, the fraction becomes

$\dfrac{(x-1)(x^2-x+2)}{(x-1)(2x^3+2x^2+2x-1)} = \dfrac{x^2-x+2}{2x^3+2x^2+2x-1}$

Now, as x approaches 1, you have no problems anymore:

$\displaystyle \lim_{x\to 1} \dfrac{x^2-x+2}{2x^3+2x^2+2x-1} \to \dfrac{2}{5}$

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2 years ago

Pollsters are concerned about declining levels of cooperation among persons contacted in surveys. A pollster contacts 99 people

sertanlavr [38]

Answer:

The probability of getting someone in the 18-21 age bracket or someone who agreed to respond $= 0.365$

Step-by-step explanation:

The counts are as follows

Age Group No of people contacted No of refusals Total

18-21 88 8 96

22-29 240 42 282

Total 328 50 378

The probability of getting some one in the age bracket of 18-21 or some one who refused to respond is

$= \frac{96}{378} + \frac{50}{378} - \frac{8}{378} \\= \frac{96+50-8}{378} \\= \frac{138}{378} \\= 0.365$

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2 years ago

Compare −114 and −1 greater than or less than

Stella [2.4K]

Answer:

-114 is less than -1

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2 years ago

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Which expressions are equivalent to 16x4 − 64? Check all that apply. 16x4 + 16x – 16x – 64 16x4 – 8x – 8x – 64 (4x2 + 8)(4x2 – 8

KengaRu [80]

Answer:

16x4 + 16x – 16x – 64

16x4 – 8x – 8x – 64

(4x2 + 8)(4x2 – 8)

16(x2 + 2)(x2 – 2)

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2 years ago